The Feasible Coalitional Structures in the Weighted Cooperative Games

Article Preview

Abstract:

In cooperative games, the formation of coalitional structure and their allocation are important problems. This paper firstly for participants with different position or itself by the relative inseparable coalition composition, put forward weighted cooperative game. The formations of feasible coalition structure are presented. On the basis of the revenues in all feasible coalition structures for every participant, their allocation indexes are determined and based on the allocation indexes, the revenue of the biggest coalitional structure be assigned to each participant. This method's reasonability represents that the participants' allocation indexes are from the competition among individuals and maximizing the overall revenue reflects all participants' cooperation.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

1963-1966

Citation:

Online since:

January 2015

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2015 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] Herings P, van der Laan G,Talman D.The average tree solution for cycle free games[J]. Games and Economic Behavior 2008,62:77-92.

DOI: 10.1016/j.geb.2007.03.007

Google Scholar

[2] Albizuri M J,Aurrecoechea J,Zarzuelo J M.Configuration Values:Extensions of the coalitional Owen value[J].Games and Economic Behaviour,2006,57:1-17.

DOI: 10.1016/j.geb.2005.08.016

Google Scholar

[3] Shapley L S.A value for n-person games[J].Annals of Mathematics Studies,1953,28: 307- 318.

Google Scholar

[4] Khmelnitskaya A B,Yanovskaya E B.Owen coalitional value without additivity axiom[J]. Mathematical Methods of Operations Research, 2007, 66:255-261.

DOI: 10.1007/s00186-006-0119-8

Google Scholar

[5] Owen G.Value of games with a priori unions.Mathematical Economic and Game Theory, Springer-Verlag,Berlin,1977:76-88.

Google Scholar